6312768 has 168 divisors, whose sum is σ = 21543264. Its totient is φ = 1612800.

The previous prime is 6312751. The next prime is 6312773. The reversal of 6312768 is 8672136.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (12096) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103458 + ... + 103518.

Almost surely, 2^6312768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771632).

6312768 is an abundant number, since it is smaller than the sum of its proper divisors (15230496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6312768 is a wasteful number, since it uses less digits than its factorization.

6312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 6312768 is about 2512.5222387076. The cubic root of 6312768 is about 184.8161602030.

The spelling of 6312768 in words is "six million, three hundred twelve thousand, seven hundred sixty-eight".